7 (a) s+2 e-8s (b) s(s + 2) e-5s (c) s2 + 2s – 5/4 1 (d) s2 + 2s +2

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Q: a) f(t) = t¯/2 b) f(t) = t\/2 c) f(t) = t32. %3D %3D

A: To find the Laplace transform of the given functions using the definition of Gamma function.

Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

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A: Given : WX=AX+B       1 We know that  Lfx=Fs, Lxn=n!sn+1, L1=1s

Q: Ti: exas State University, 2025. Tits reserv 12 Copyright Texas State University, 2023. All rights…

A: Given: Let T1 and T2 be the linear transformations defined by T1: x1x2→2x1-x24x1 , T2:…

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Q: ii. Define inverse laplace Transformation. iii. Define Laplace Transformation. iv. Define Piecewise…

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Q: Write the formula for the first shift theorem of Fourier Transform. Find the Fourier Transform of…

A: Please find attachment for the details solution